This mission is initiated by completing the Schools of Fish to Fight mission. The contraption in the middle of this area is missing a cog. The cog is on the ground behind some crates to the left of the area entrance (if facing out from the entrance). Pick up the cog and place it next to the Infinity button.

Press the big button and platforms will start moving in opposite directions in concentric circles. Jump on the shortest platform on the outer circle, then wait for it to align with the next biggest platform, on the inner circle, and jump on that. Wait for that to align with the next tallest platform in the outer circle and jump on that. Wait for that one to align with the stationary platform on the outside, and jump onto it, then hop across to the next stationary platform. Now wait for the tallest moving platform to come by and hop on. When that platform aligns with the bridge to the center platform, make a double jump to the center and to the chest with the next piece of the Kraken's Bane.